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634397130840 = 2335112411994207
BaseRepresentation
bin10010011101101010000…
…01000000000001011000
32020122111020010100102010
421032311001000001120
540343221131141330
61203234340105520
763555644432214
oct11166501000130
92218436110363
10634397130840
11225056707060
12a2b4a3952a0
1347a91cbc675
14229c269b944
151177ea153b0
hex93b5040058

634397130840 has 128 divisors (see below), whose sum is σ = 2084824811520. Its totient is φ = 153155020800.

The previous prime is 634397130839. The next prime is 634397130841. The reversal of 634397130840 is 48031793436.

It is an interprime number because it is at equal distance from previous prime (634397130839) and next prime (634397130841).

It is a self number, because there is not a number n which added to its sum of digits gives 634397130840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634397130841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 678984 + ... + 1315223.

It is an arithmetic number, because the mean of its divisors is an integer number (16287693840).

Almost surely, 2634397130840 is an apocalyptic number.

634397130840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

634397130840 is an abundant number, since it is smaller than the sum of its proper divisors (1450427680680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

634397130840 is a wasteful number, since it uses less digits than its factorization.

634397130840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994473 (or 1994469 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 634397130840 in words is "six hundred thirty-four billion, three hundred ninety-seven million, one hundred thirty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 241 264 330 440 482 660 723 964 1205 1320 1446 1928 2410 2651 2892 3615 4820 5302 5784 7230 7953 9640 10604 13255 14460 15906 21208 26510 28920 31812 39765 53020 63624 79530 106040 159060 318120 1994207 3988414 5982621 7976828 9971035 11965242 15953656 19942070 21936277 23930484 29913105 39884140 43872554 47860968 59826210 65808831 79768280 87745108 109681385 119652420 131617662 175490216 219362770 239304840 263235324 329044155 438725540 480603887 526470648 658088310 877451080 961207774 1316176620 1441811661 1922415548 2403019435 2632353240 2883623322 3844831096 4806038870 5286642757 5767246644 7209058305 9612077740 10573285514 11534493288 14418116610 15859928271 19224155480 21146571028 26433213785 28836233220 31719856542 42293142056 52866427570 57672466440 63439713084 79299641355 105732855140 126879426168 158599282710 211465710280 317198565420 634397130840